A project in collaboration with Dr. Richard J. Field of the Dept. of Chemistry, dealing with the analysis of the dynamics in systems of nonlinear differential equations describing chemical reactions in the troposphere (the part of the atmosphere from the ground level to about 10 km high), and leading to oscillations in concentration of ozone as well as other components of the troposphere, e.g. carbon monoxide, etc. Most previous work in this area has been done by chemists and atmospheric modelers interested mainly in reproducing observed behaviours of the troposphere. However, little has been done to understand the fundamental dynamic structure of these very complex models, and this is the primary focus of this proposal. We will work with the reduced models of this complex chemistry to determine its underlying dynamic structure. The reduced models are constructed so as to retain the important chemical interactions but not the detail necessary to quantitatively reproduce observations. We will look at the effects of these fundamental interactions on the appearance of various nonlinear phenomena, e.g. oscillations, bistability, and chaos. the use of the asymptotic methods, bifurcation theory, and numerical simulations in studying is emphasized.
| Mail: | Dr. Leonid V. Kalachev |
|
Dept. of Mathematical Sciences |
| University of Montana | |
| Missoula, MT 59812 |
| E-mail: | leonid@selway.umt.edu |
| Phone: | (406) 243-4373 |
| FAX: | (406) 243-2674 |
Montana Space Grant Home